A Ball Drops from a Height of 6 Ft $\frac { 2 } { 5 }$

question 6

Multiple Choice

A ball drops from a height of 6 ft. With each bounce, the ball rebounds to $\frac { 2 } { 5 }$ of its height. The total vertical distanced traveled is given by $6 + 6 \left( \frac { 2 } { 5 } \right) + 2 ( 6 ) \left( \frac { 2 } { 5 } \right) ^ { 2 } + \ldots$ After the first term, the series is an infinite geometric series. Compute the total vertical distance traveled.

• A) The total vertical distance traveled is 10 ft.
• B) The total vertical distance traveled is 14 ft.
• C) The total vertical distance traveled is 4 ft.
• D) The total vertical distance traveled is 8 ft.

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